-LRB- PEOPLE.com -RRB- -- Liv Tyler highly approves of her rock-star father Steven 's choices -- both in love and career .

Asked about the `` American Idol '' judge 's recent engagement to Clear Channel executive Erin Brady , Liv tells PEOPLE that she 's an enthusiastic supporter of it , explaining that the two have been together `` for a long , long time '' and adding , `` I like her very much . ''

Speaking to PEOPLE at the Sundance Film Festival , where she 's promoting her new movie `` Robot and Frank , '' the actress , 34 , also revealed that she 's finally following in her father 's footsteps -- into the music business .

`` I got to record a cover of INXS 's ' I Need You Tonight ' for a Givenchy commercial , '' says the model , who has a longstanding beauty contract with the European cosmetics company . `` It was fun and terrifying and wonderful , '' she says of recording the song , which is due out soon .

It 's a logical step for a woman whose roots are in music .

`` I always thought when I was a little girl that I 'd be a singer , '' she says . `` My mom -LSB- Bebe Buell -RSB- was always in bands . My dad . And my stepfather , Todd Rundgren , is an incredible musician . ''

As for her dad 's dicey performance of The Star-Spangled Banner on Sunday ? Liv had n't seen it yet . `` Somebody told me my dad just sang the national anthem , '' she said . `` I 've got to go Google it . ''

Or , you know , maybe not .

See the full article at PEOPLE.com .

© 2011 People and Time Inc. . All rights reserved .

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Liv Tyler says she 's a supporter of her father Steven Tyler 's engagement

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`` I like her very much , '' she said about Erin Brady

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Tyler is promoting her new movie `` Robot and Frank '' at the Sundance Film Festival